Answer:
<em>9*364 - 9*125 - 9*39 = 1,800</em>
Step-by-step explanation:
<em>Mental Calculation</em>
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
You would do 2 · 26 · 26 = 1,352 different arrangements
Answer:
the area is 254.47
Step-by-step explanation:
A=pi sign r²
d=2r
now we solve for the area
A=1/4 pi sign d²=1/4 times 3.14 times 18=254.47
Answer:
a. ∠B
b. DC
Step-by-step explanation:
a. Since ABCDE and GHJDF are similar shapes, this implies that the angle of one point in one shape is equal to another angle of one point in the other shape. In this case, ∠H is equivalent to ∠B because they share the same relative point between the shapes. You can also approach this question by identifying that H is the second letter in the shape name. If you look at B, you will also notice that the second letter in the shape name is B.
b. Just like in part a, you are trying to find one relative value in one shape that is equal to the other shape. Look at the left side of the equation, you will notice that it is a ratio of sides. The goal is to match the left with the right side. The ratio is side GH:DJ. Notice that it is a ratio of the top right side to the bottom side of the shape. If you follow this format for shape ABCDE , you will notice that the top right side is AB and the bottom side is DC. Since the question is just asking for the denominator of the ratio, your answer is just DC
